Home
Class 12
MATHS
In a certain city, only 2 newspapers A a...

In a certain city, only 2 newspapers A and B are published. It is known that 25% of the city population read A and 20% read B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisement and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population who read an advertisement?

A

`13.5`

B

13

C

`12.8`

D

13.9`

Text Solution

Verified by Experts

The correct Answer is:
D
Let the population of city is 100.
Then, `n(A)=25, n(B)=20 and n (A cap B)=8`

So, `n(A cap bar(B))=17 and n(bar(A) cap B)=12`
According to the question, Percentage of the population who look into advertisement is
`=[(30)/(100)xxn(A capbar(B))] +[(40)/(100)xx n (bar(A) capB)]+[(50)/(100)xx n (A capB)]`
`=((30)/(100)xx17)+((40)/(100)xx12)+((50)/(100)xx8)`
`=5.1 +4.8+4=13.9`
Promotional Banner

Similar Questions

Explore conceptually related problems

In a certain city only two newspapers A and B are published, it is known that 25% of the city population reads A and 20% reads B, while 8% reads both A and B. It is also known that 30% of those who read A but not B look int advertisements and 40% of those who read B bu not A look into advertisements while 50% of those who read both A and B look into advertisements What is the percentage of the population reads an advertisement? [1984]

8% of NaCl solution is

If a double stranded DNA has 20% of cytosine, what will be the percentage of adenine in it ?

In a city 20% of the population travels by car, 50% travels by bus and 10% travels by both car and bus. Then persons travelling by car or bus is

In a DNA double strand, if guanine is of 30%, what will be the percentage of thymine?

Of the students in a college,. it is known that 60% reside in hostel and 40% are day scholars (not residing in hostel). Previous year results report that 30% of all students who reside in hostel attain A grade and 20% of day scholars attain A grade in their annual examination. At the end of the year, one student is chosen at random from the college and he has an A grade, what is the probability that the student is a hosteler?

In DNA of certain organisms, guanine constitutes 20% of the bases. What percentage of the bases would be adenine?

A 25% alcohol solution means